He was educated at Eton College, as a pupil of Oscar Browning, and at King"s College, Cambridge.
Parker was called to the Bar in 1883. From 1903 to 1906, he was junior counsel to the Treasury, becoming a bencher afterwards. He was appointed Lord of Appeal in Ordinary in 1913 and on appointment he became a Law life peer as Baron Parker of Waddington, of Waddington in the County of Yorkshire.
He died in Haslemere, Surrey at the age of sixty-one.
The ancient Parker family seat is Browsholme Hall in the Forest of Bowland. Traditionally, the Parkers have served as Bowbearers to the Lords of Bowland.